Thus far we have considered finite time Markov decision processes. We now want to solve MDPs of the form

## Markov Decision Processes

Markov decision processes are essentially the randomized equivalent of a dynamic program.

## Dynamic Programming

We briefly explain the principles behind dynamic programming and then give its definition.

## Notes for Stochastic Control 2019

The link below contains notes PDF for this years stochastic control course

I’ll upload individual posts for each section. I’ll likely update these notes and add more exercises over the coming semester. I’ll add this update in a further post at the end of the course. Comments, typos, suggestions are always welcome.

## Markov’s Inequality, Chebychev’s Inequality and the Weak Law of Large Numbers

## Probability Son, Father and Grandfather have same birthday.

Here is a quick request for comments for Probability 1 students. Here are two answers saying that the probability that a grandfather, father and son are all born on the same day.

https://www.mirror.co.uk/news/uk-news/baby-boy-born-same-date-13416140

https://www.bbc.co.uk/news/world-us-canada-41406855#

The first answer is sort of wrong because it assumes you specify in advance date of birth. The second answer is right because we assume in advance we are given three generations and we assume we deal with a first born son.

Please leave comments below and will forward them on to BBC.

## Some Mathematical Notation

Because I heard a few students had not come across some mathematical notation. Here is a quick introduction to a few mathematical terms.